The Ext algebra of a Brauer graph algebra
Edward L Green, Sibylle Schroll, Nicole Snashall, Rachel Taillefer
TL;DR
This paper investigates the structure of the Ext algebra of Brauer graph algebras, identifying the degrees of generators and characterizing when these algebras are Koszul or K_2.
Contribution
It provides a detailed analysis of the Ext algebra's generators and characterizes Koszul and K_2 properties for Brauer graph algebras.
Findings
Determined the degrees of generators of the Ext algebra.
Characterized when Brauer graph algebras are Koszul.
Characterized when Brauer graph algebras are K_2.
Abstract
In this paper we study finite generation of the Ext algebra of a Brauer graph algebra by determining the degrees of the generators. As a consequence we characterize the Brauer graph algebras that are Koszul and those that are K_2.
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